What is the Least Common Multiple of 99690 and 99704?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99690 and 99704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99690 and 99704, than apply into the LCM equation.

GCF(99690,99704) = 2
LCM(99690,99704) = ( 99690 × 99704) / 2
LCM(99690,99704) = 9939491760 / 2
LCM(99690,99704) = 4969745880

Least Common Multiple (LCM) of 99690 and 99704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99690 and 99704. First we will calculate the prime factors of 99690 and 99704.

Prime Factorization of 99690

Prime Factorization of 99704

Now multiplying the highest exponent prime factors to calculate the LCM of 99690 and 99704.

LCM(99690,99704) = 2³ × 3¹ × 5¹ × 3323¹ × 11² × 103¹
LCM(99690,99704) = 4969745880